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Finding the Fourth Proportional to 10,561,592,832,161, 15,842,389,248,242 and 10,561,592,832,161

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Solution

The fourth proportional to 10,561,592,832,161, 15,842,389,248,242 and 10,561,592,832,161 is: 15,842,389,248,242

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561,592,832,161 : 15,842,389,248,242 = 10,561,592,832,161 : x
  2. Step 2: Convert to fraction form
    10,561,592,832,161/15,842,389,248,242 = 10,561,592,832,161/x
  3. Step 3: Cross multiply
    10,561,592,832,161x = 15,842,389,248,242 × 10,561,592,832,161
  4. Step 4: Simplify right side
    10,561,592,832,161x = 167,320,864,728,537,198,051,196,928
  5. Step 5: Solve for x
    x = 167,320,864,728,537,198,051,196,928/10,561,592,832,161
  6. Step 6: Final answer
    x = 15,842,389,248,242

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.